KAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER MATRIX DYNAMIC EQUATIONS ON TIME SCALES

TitleKAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER MATRIX DYNAMIC EQUATIONS ON TIME SCALES
Publication TypeJournal Article
Year of Publication2009
AuthorsKONG QINGKAI, WANG QI-RU, ZHU ZHI-QIANG
JournalDynamic Systems and Applications
Volume18
Start Page423
Pagination17
Date Published2009
ISSN1056-2176
AMS Subject Classification34C10, 39A12
Abstract

We consider the second order matrix valued dynamic equation ( P(t) X(t) ) + Q(t) X( σ(t) ) = 0 on a time scale T, where P, Q ∈ Crd(T, Rn×n ) with P(t) positive definite and Q(t) Hermitian on T. Kamenev type criteria and interval criteria are established. Our results cover those for matrix differential equations and provide new oscillation criteria for matrix difference equations.

PDFhttps://acadsol.eu/dsa/articles/18/30-DSA-163.pdf
Refereed DesignationRefereed